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A point A(2, 1) is outside the circle x^...

A point A(2, 1) is outside the circle `x^2+y^2+2gx+2fy+c=0` & AP, AQ are tangents to the circle.The equation of the circle circumscribing the triangle APQ is: a. (x+g)(x-2)+(y+f)(y-1)=0 b. (x+g)(x-2)-(y+f)(y-1)=0 c. (x-g)(x+2)+(y-f)(y+1)=0 d. (x-g)(x-2)+(y-f)(y-1)=0

Text Solution

Verified by Experts

APOQ is a cyclic quadrilateral
`/_P+/_Q=180^0`
Slope of line AP
`m_1=(k-1)/(h-2)-(1)`
Slope of line OP
`m_2=(k+f)/(h+g)`-(2)
`m_1*m_1=-1`
From equation 1 and 2
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